(k1, …, kn)-CONVEXITY IN ℝn

• Journal title : Honam Mathematical Journal
• Volume 37, Issue 4,  2015, pp.513-527
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2015.37.4.513
Title & Authors
(k1, …, kn)-CONVEXITY IN ℝn
PARK, SUNG-HEE;

Abstract
In this paper, we first introduce and study new concepts of ($\small{k_1,{\cdots},k_n}$)-convexity and k-segment. Secondly, we shall discuss some properties of nonisotropically starlike domains in $\small{\mathbb{R}^n}$ with respect to the origin.
Keywords
($\small{k_1,{\cdots},k_n}$)-convex set;($\small{k_1,{\cdots},k_n}$)-convex function;quasi-($\small{k_1,{\cdots},k_n}$)-convex function;k-segment;($\small{k_1,{\cdots},k_n}$)-nonisotropically starlike with respect to the origin;
Language
English
Cited by
References
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